It's your birthday, and to celebrate you're going to make your first bungee jump. You stand on a bridge 105 m above a raging river and attach a 30-m-long bungee cord to your harness. A bungee cord, for practical purposes, is just a long spring, and this cord has a spring constant of 48 N/m. Assume that your mass is 70 kg. After a long hesitation, you step off the bridge.How far are you above the water when the cord reaches its maximum elongation?

Q: In a popular new hockey game, the players use small launchers with springs to move a 0.003-kg puck.…

A: The mass of a puck is, m=0.003 kg The spring constant is, k=135 N/m The displacement of the spring…

Q: A 2.0-kg mass is attached to a vertical spring. The mass is held in place with the spring relaxed,…

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Q: A toy cannon uses a spring to project a 5.28 -g soft rubber ball. The spr a force constant of 8.04…

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Q: A spring with a constant of 300 N/m is stretched 1.5 m. What is the force in the spring? 100 N 50 N…

A: Given :      Spring constant, k = 300 N/m      Stretched distance, x = 1.5 m

Q: A 7.50 kg block is glued to the top of a vertical spring of spring constant 245 N/m. A rope is then…

A: Given : A 7.5 kg block is glued to the top of a vertical spring of spring constant 245 N/m. A rope…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A: Hooke's law states that the elastic restoring force acts linearly proportional to the displacement.…

Q: A 5.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.500 m by a large…

A: Given data: Mass (m) = 5.00×105 kg Initial velocity (u) = 0.500 m/s Final velocity (v) = 0 m/s…

Q: 1) How much would spring A stretch if Block Y were hanging from it back in the lab in Orlando? cm…

A: Given, When the block X is hanged from spring A in laboratory frame then the spring stretches by…

Q: A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a…

A: Given:Mass of the block, m = 15 kgInclination of the plane = 40 degreesSpring constant, k = 3.4 ×104…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

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Q: Fleas are agile, wingless insects that feed on the blood of their hosts. Although they are typically…

A: Write the given values with the suitable variables. m=4.6×10-4 kgv=1 m/sHere, m is the mass and v is…

Q: DNA molecules are typically folded tightly. Stretching a strand of DNA means straightening it, and…

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Q: A boy wants use his slingshot to shoot a water balloon into the air. His slingshot has a spring…

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Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.600 m/s in 0.800 m by a large…

A: According to question---- Given data--- Mass m = 6.5 × 105 kg. Speed = 0.6 m / sec. X = 0.8 m. We…

Q: ⦁ A person (m=50 kg) is sitting on top of a wooden crate (m=100kg) on a wooden floor ( ). His friend…

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Q: When a 3.5 kg block is pushed against a massless spring of force constant 4.5 x 103 N/m, the spring…

A: When a free point 5 kg block is pushed against a massless spring of force constant 4.5 *103 N/m the…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: DNA molecules are typically folded tightly. Stretching a strand of DNA means straightening it, and…

A: Required: The spring constant k

Q: A 26100 kg train is reaching the end of the line. In order to slow down, the front of the train…

A: Given Information:Mass of train m = 26100 kgVelocity of the train v = 62.5 m/sStiffness of the…

Q: A toy cannon uses a spring to project a 5.22-g soft rubber ball. The spring is originally compressed…

A: mass = 5.22 g original compression (d) = 4.93 cm k = 7.98 N/m d1 = 14.4 cm f = - 0.0316 N

Q: A 3 kg block hangs from a spring with a spring constant of 2  N/m. At t=0s the block is 13  m below…

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Q: A 6.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…

A: Given : m = 6.50 × 105 kg v = 0.5 m/s x = 0.9 m vo = 0 (because finally the train stops)

Q: truck has a mass of 10,000 kg. It is backing into a loading dock at a speed of 0.5 m/s when it hits…

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Q: A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.600 m by a large…

A: Given that - mass of the Subway train Speed of the train Distance from the spring bumper To Find -…

Q: 3.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large…

A:

Q: 68. A block of mass 12.0 kg slides from rest down a friction- less 35.0° incline and is stopped by a…

A:

Q: A rope connect two masses, M₁ = 8 kg., and M₂ = 5 kg. They are initially held at the same height…

A: Given data-  Mass M1=8 kg ,  M2=5 kg  They are initially held same height hi=1.5 m  When the masses…

Q: A slingshot, which can be modeled as a spring with spring constant k = 56.4 N/m, is stretched by 16…

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Q: The problem uses the ideal spring force, in one dimension.  F = -kx, where x is the deviation from…

A: The maximum speed for a particle performing simple harmonic motion is given asv=AωA is the amplitude…

Q: A block of mass 11.0 kg slides from rest down a frictionless 36.0° incline and is stopped by a…

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Q: A toy cannon uses a spring to project a 5.32-g soft rubber ball. The spring is originally compressed…

A:

Q: An object of mass m= 7.6 kg is free to move on a horizontal surface without any friction. It is…

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Q: The final set of this lab has you hanging an unknown mass on a spring (for which you have determined…

A: The values given in the problem are as follows The spring constant k = 24.0N/m Displacement in the…

Q: During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle…

A:

Q: A block of mass 15.0 kg slides from rest down a frictionless 33.0° incline and is stopped by a…

A: mass, m = 15 kg  Angle, A = 33°  k= 4 x 104 N/m distance, d= 3 m

Q: DNA molecules are typically folded tightly. Stretching a strand of DNA means straightening it, and…

A:

Q: A toy cannon uses a spring to project a 5.35-g soft rubber ball. The spring is originally compressed…

A:

Q: A 1.30-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250…

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Q: An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden…

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Q: An object of mass m = 2.9 kg is free to move on a horizontal surface without any friction. It is…

A: Given data: Mass of the object is m=2.9 kg. Force on the object is F→=3 Ni^+4 Nj^. Distance moved by…

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest.